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Finding the Fourth Proportional to 486.46, 729.78 and 198.10

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Solution

The fourth proportional to 486.46, 729.78 and 198.10 is: 297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.46 : 729.78 = 198.10 : x
  2. Step 2: Convert to fraction form
    486.46/729.78 = 198.10/x
  3. Step 3: Cross multiply
    486.46x = 729.78 × 198.10
  4. Step 4: Simplify right side
    486.46x = 144,569.42
  5. Step 5: Solve for x
    x = 144,569.42/486.46
  6. Step 6: Final answer
    x = 297.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.